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12220213221102 = 2367161783187897
BaseRepresentation
bin1011000111010011110101…
…1101111101011011101110
31121021020111200002210220110
42301310331131331123232
53100203444041033402
641553515523400450
72400611163344205
oct261647535753356
947236450083813
1012220213221102
113991621868207
121454438823126
136a849061c703
1430366640a23c
15162d20bcc56c
hexb1d3d77d6ee

12220213221102 has 32 divisors (see below), whose sum is σ = 24805494266112. Its totient is φ = 4012561168704.

The previous prime is 12220213221101. The next prime is 12220213221131. The reversal of 12220213221102 is 20112231202221.

It is a super-3 number, since 3×122202132211023 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220213221101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64942818 + ... + 65130714.

It is an arithmetic number, because the mean of its divisors is an integer number (775171695816).

Almost surely, 212220213221102 is an apocalyptic number.

12220213221102 is an abundant number, since it is smaller than the sum of its proper divisors (12585281045010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12220213221102 is a wasteful number, since it uses less digits than its factorization.

12220213221102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349752.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12220213221102 its reverse (20112231202221), we get a palindrome (32332444423323).

The spelling of 12220213221102 in words is "twelve trillion, two hundred twenty billion, two hundred thirteen million, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 67 134 201 402 161783 187897 323566 375794 485349 563691 970698 1127382 10839461 12589099 21678922 25178198 32518383 37767297 65036766 75534594 30398540351 60797080702 91195621053 182391242106 2036702203517 4073404407034 6110106610551 12220213221102